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Finding the Third Proportional to 97,458 and 209,955

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Solution

The third proportional to 97,458 and 209,955 is: 452,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,458 : 209,955 = 209,955 : x
  2. Step 2: Convert to fraction form
    97,458/209,955 = 209,955/x
  3. Step 3: Cross multiply
    97,458x = 209,955 × 209,955
  4. Step 4: Simplify right side
    97,458x = 44,081,102,025
  5. Step 5: Solve for x
    x = 44,081,102,025/97,458
  6. Step 6: Final answer
    x = 452,308.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.